Vibration is an important topic in classical physics, and resonance phenomena in continuous media correspond to vibrations in a class of eigenmodes. In the undergraduate course “Methods of Mathematical Physics” for physics majors, eigenmodes are introduced in the chapter on “Separation of Variables” while solving eigenvalue problems. However, the abstract formulas and the relatively unfamiliar concept of eigenmodes can be non-intuitive and difficult to understand for beginners. In this paper, we propose a thin-plate resonance scheme to visually demonstrate this physical phenomenon. This approach is combined with the “Separation of Variables” method for solving eigenmodes presented in the course, thereby producing images that closely resemble those observed in the demonstration experiment. The finite-element software is also employed to simulate these resonance modes and frequencies.